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Ready4

What is the circumference of the circle above with center ?

(1) The perimeter of is .

(2) The length of arc is .

Ready4

According to the chart above, which of the following is closest to the median, in dollars, of the annual average household income from 2000 through 2008, inclusive?

Ready4

In the rectangular coordinate system above, if and have equal area, what are the coordinates of point L?

(1) and .

(2) The coordinates of point O are .

Ready4

The graph above shows the percentage of students who take various modes of transportation to/from school for each grade at Fairmount Middle School. If there are 200 6th graders, 300 7th graders, and 200 8th graders, how many students in total take the bus to/from school?

Ready4

The graph above shows the percentage of students who take various modes of transportation to/from school for each grade at Fairmount Middle School. If there are 200 6th graders, 300 7th graders, and 200 8th graders, how many students in total take the bus to/from school?

Ready4

A stairway is formed by stacking even blocks next to and on top of each other. If the stairway depicted above is 5 blocks in length and 4 blocks in height, with a thin step at the beginning that does not require a block, and the stairway is only 1 block in width, how many blocks will be required to build such a stairway 20 blocks in length?

Ready4 OG2022

In the figure above, points A, B, C, D, E, and F lie on a line perpendicular to the square's sides. If point A lies on the square, point B lies on the circle, point C bisects AF, point D is the center of the circle, point E bisects DF, and point F lies on the circle and on the square, what is the difference in area between the square and the circle?

  1. AB=6 and BC=4.
  2. AB=6 and EF=3.5.
Ready4

On the circle above with center , the length of arc is . What is the circumference of the circle?

Ready4

In the figure above, the point is the center of the circle and . What is the value of ?

Ready4

The figure above represents a circular mirror surrounded by a circular frame that is 4 inches wide. The total distance across the mirror, including the frame, is 28 inches. What is the area, in square inches, of the frame that surrounds the mirror?

Ready4

If arc above is a semicircle, what is the length of diameter ?

(1)

(2)

Ready4

If is the center of the circle above, what fraction of the circular region is shaded?

Ready4

In the triangle above, does ?

(1)

(2)

Ready4

If x=2y" role="presentation" style="position: relative;">x=2yx=2y and y=z2" role="presentation" style="position: relative;">y=z2y=z2 , is (z3+y2+3x)" role="presentation" style="position: relative;">(z3+y2+3x)(z3+y2+3x) divisible by 5?

(1) z = 3

(2) y=32" role="presentation" style="position: relative;">y=32y=32

Ready4

There were several factors that led to the downfall of the Tughlaq Empire. The Tughlaq empire was a Turkic dynasty of Delhi sultanate, whose reign started in the fourteenth century in Delhi. Around the year 1321, Ghiyas Tughlaq ascended the throne and was given the title Ghiyath al-Din Tughlaq. The Tughlaq dynasty was able to hold its rule because it had their strong allies like the Turks, Afghans and the Muslim warriors of south Asia. The Tughlaqs established the most extensive empire among the Delhi Sultanate. Ghiyas-ud-din Tughlaq took advantage of a previous conquest of the south and annexed a larger part of it. His son, Muhammad Bin Tughlaq, contributed most towards the extension of the Empire both as a prince and a Sultan. But the process of disintegration began during his reign. He became notorious for ill-advised policy experiments such as shifting the capital from Delhi to Daulatabad and introducing copper coins without effective regulation against forgery. Tughluqi has as a result become a synonym for brilliant if stubborn eccentricity in the Urdu language. The annexation of the south, the failures of Muhammad Tughlaq, the weakness of Firoz Shah Tughlaq, the incompetence

of his successors, the incompetence and demoralization of the nobility, and the invasion of Timur were the chief factors responsible for the downfall of this vast Empire.

Ghiyas-ud-din Tughlaq waged a gruesome battle against Khusrao Khan, who killed the last Khilji ruler. His successful defense against the Mongols made him an able ruler and the founder of a dynasty in India. He conquered many areas including the eastern portion of Bengal, a huge territory. In addition, Ghiyas-ud-din Tughlaq adopted the policy of annexing the conquered territories of the south, which was p

of his successors, the incompetence and demoralization of the nobility, and the invasion of Timur were the chief factors responsible for the downfall of this vast Empire.

Ghiyas-ud-din Tughlaq waged a gruesome battle against Khusrao Khan, who killed the last Khilji ruler. His successful defense against the Mongols made him an able ruler and the founder of a dynasty in India. He conquered many areas including the eastern portion of Bengal, a huge territory. In addition, Ghiyas-ud-din Tughlaq adopted the policy of annexing the conquered territories of the south, which was p

d Tughlaq. But this measure was against the permanent interest of the empire. Because of the lack of efficient transportation, it was difficult for the rulers of the north to keep the south under control for long. Thus the south became independent during the later period of Muhammad Tughlaq. The conquest of the south brought no advantages to the Tughlaqs. On the contrary, it adversely affected the resources and the strength of the Empire.

One of the most controversial rulers in India, Mohammed bin Tughlaq was the successor of Ghazi Tughlaq. Under his rule, the empire spread and his reign grew. Many theorize that he was a brilliant person who had full command over mathematics and medicine. Yet, he was considered crazy by members of his court. He was known to mete out very cruel and brutal punishment to people who were found guilty of even small offenses. Eventually, Muhammad Tughlaq failed both in his internal and foreign policy. While Bengal and the south regained independence and the hold of the Delhi Sultanate became weak over Gujarat and Sindh, no significant territor

y could be added to the empire permanently. All the schemes of Muhammad Tughlaq failed miserably and brought economic ruin to the empire. In additi

on, his policies and severe measures resulted in widespread revolts and further taxed the energy and resources of the empire.

Ready4

In the table above, what is the least number of table entries that are needed to show the mileage between each town and each of the other six towns?

Ready4

According to the chart shown, which of the following is closest to the median monthly sales, in dollars, at a local coffee shop over the time period from September to June, inclusive?

Ready4

The figure above indicates the Quadrant labels for a rectangular coordinate system. In which two quadrants does the equation lie if ?

Ready4

The figure above indicates the Quadrant labels for a rectangular coordinate system. In which two quadrants does the equation lie if ?

Ready4

If arc above is a semicircle, what is the length of ?

(1)

(2)

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